13164313051008 has 384 divisors, whose sum is σ = 45583322803200. Its totient is φ = 3562383421440.

The previous prime is 13164313050991. The next prime is 13164313051037. The reversal of 13164313051008 is 80015031346131.

13164313051008 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 4 + 3 + 130 + 510 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817092873 + ... + 817108983.

It is an arithmetic number, because the mean of its divisors is an integer number (118706569800).

Almost surely, 2^{13164313051008} is an apocalyptic number.

13164313051008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13164313051008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22791661401600).

13164313051008 is an abundant number, since it is smaller than the sum of its proper divisors (32419009752192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13164313051008 is a wasteful number, since it uses less digits than its factorization.

13164313051008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21490 (or 21475 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 13164313051008 its reverse (80015031346131), we get a palindrome (93179344397139).

The spelling of 13164313051008 in words is "thirteen trillion, one hundred sixty-four billion, three hundred thirteen million, fifty-one thousand, eight".